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Finding the Fourth Proportional to 6,949.88, 9,590.93 and 3,806.00

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Solution

The fourth proportional to 6,949.88, 9,590.93 and 3,806.00 is: 5,252.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.88 : 9,590.93 = 3,806.00 : x
  2. Step 2: Convert to fraction form
    6,949.88/9,590.93 = 3,806.00/x
  3. Step 3: Cross multiply
    6,949.88x = 9,590.93 × 3,806.00
  4. Step 4: Simplify right side
    6,949.88x = 36,503,012.60
  5. Step 5: Solve for x
    x = 36,503,012.60/6,949.88
  6. Step 6: Final answer
    x = 5,252.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.